Jefferson Middle School is selling tickets to a school play. On the first day of ticket sales the school sold 4 adult tickets and 1 child ticket for a total of $55. On the second day, the school sold 3 adult tickets and 2 child tickets for a total of $50. Find the price of an adult ticket and the price of a child ticket. Let a = price of an adult ticket. Let c = price of a child's ticket.

Question

Mathematics

Eleanor Mclaughlin

5 November, 03:17

Jefferson Middle School is selling tickets to a school play. On the first day of ticket sales the school sold 4 adult tickets and 1 child ticket for a total of $55. On the second day, the school sold 3 adult tickets and 2 child tickets for a total of $50. Find the price of an adult ticket and the price of a child ticket. Let a = price of an adult ticket. Let c = price of a child's ticket.

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Answers (1)

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Kennedy Yates · Answer 1

Step-by-step explanation:

4a + c = 55

3a + 2c = 50

Use - 2 for top equation

-8a - 2c = - 110

3a + 2c = 50

-5a = - 60

a = $12 each adult

4 (12) + c = 55

48 + c = 55

c = $7 each child